What is the Greatest Common Factor of 6955 and 6972?
Greatest common factor (GCF) of 6955 and 6972 is 1.
GCF(6955,6972) = 1
We will now calculate the prime factors of 6955 and 6972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6955 and 6972.
How to find the GCF of 6955 and 6972?
We will first find the prime factorization of 6955 and 6972. After we will calculate the factors of 6955 and 6972 and find the biggest common factor number .
Step-1: Prime Factorization of 6955
Prime factors of 6955 are 5, 13, 107. Prime factorization of 6955 in exponential form is:
6955 = 51 × 131 × 1071
Step-2: Prime Factorization of 6972
Prime factors of 6972 are 2, 3, 7, 83. Prime factorization of 6972 in exponential form is:
6972 = 22 × 31 × 71 × 831
Step-3: Factors of 6955
List of positive integer factors of 6955 that divides 6955 without a remainder.
1, 5, 13, 65, 107, 535, 1391
Step-4: Factors of 6972
List of positive integer factors of 6972 that divides 6955 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 83, 84, 166, 249, 332, 498, 581, 996, 1162, 1743, 2324, 3486
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6955 and 6972. The biggest common factor number is the GCF number.
So the greatest common factor 6955 and 6972 is 1.
Also check out the Least Common Multiple of 6955 and 6972
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Related Greatest Common Factors of 6972
- GCF of 6972 and 6976
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- GCF of 6972 and 6982
- GCF of 6972 and 6983
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- GCF of 6972 and 6987
- GCF of 6972 and 6988
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