What is the Greatest Common Factor of 91 and 111?
Greatest common factor (GCF) of 91 and 111 is 1.
GCF(91,111) = 1
We will now calculate the prime factors of 91 and 111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91 and 111.
How to find the GCF of 91 and 111?
We will first find the prime factorization of 91 and 111. After we will calculate the factors of 91 and 111 and find the biggest common factor number .
Step-1: Prime Factorization of 91
Prime factors of 91 are 7, 13. Prime factorization of 91 in exponential form is:
91 = 71 × 131
Step-2: Prime Factorization of 111
Prime factors of 111 are 3, 37. Prime factorization of 111 in exponential form is:
111 = 31 × 371
Step-3: Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1, 7, 13
Step-4: Factors of 111
List of positive integer factors of 111 that divides 91 without a remainder.
1, 3, 37
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 91 and 111. The biggest common factor number is the GCF number.
So the greatest common factor 91 and 111 is 1.
Also check out the Least Common Multiple of 91 and 111
Related Greatest Common Factors of 91
- GCF of 91 and 95
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- GCF of 91 and 97
- GCF of 91 and 98
- GCF of 91 and 99
- GCF of 91 and 100
- GCF of 91 and 101
- GCF of 91 and 102
- GCF of 91 and 103
- GCF of 91 and 104
- GCF of 91 and 105
- GCF of 91 and 106
- GCF of 91 and 107
- GCF of 91 and 108
- GCF of 91 and 109
- GCF of 91 and 110
- GCF of 91 and 111
Related Greatest Common Factors of 111
- GCF of 111 and 115
- GCF of 111 and 116
- GCF of 111 and 117
- GCF of 111 and 118
- GCF of 111 and 119
- GCF of 111 and 120
- GCF of 111 and 121
- GCF of 111 and 122
- GCF of 111 and 123
- GCF of 111 and 124
- GCF of 111 and 125
- GCF of 111 and 126
- GCF of 111 and 127
- GCF of 111 and 128
- GCF of 111 and 129
- GCF of 111 and 130
- GCF of 111 and 131