What is the Greatest Common Factor of 67100 and 67106?
Greatest common factor (GCF) of 67100 and 67106 is 2.
GCF(67100,67106) = 2
We will now calculate the prime factors of 67100 and 67106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67100 and 67106.
How to find the GCF of 67100 and 67106?
We will first find the prime factorization of 67100 and 67106. After we will calculate the factors of 67100 and 67106 and find the biggest common factor number .
Step-1: Prime Factorization of 67100
Prime factors of 67100 are 2, 5, 11, 61. Prime factorization of 67100 in exponential form is:
67100 = 22 × 52 × 111 × 611
Step-2: Prime Factorization of 67106
Prime factors of 67106 are 2, 13, 29, 89. Prime factorization of 67106 in exponential form is:
67106 = 21 × 131 × 291 × 891
Step-3: Factors of 67100
List of positive integer factors of 67100 that divides 67100 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 61, 100, 110, 122, 220, 244, 275, 305, 550, 610, 671, 1100, 1220, 1342, 1525, 2684, 3050, 3355, 6100, 6710, 13420, 16775, 33550
Step-4: Factors of 67106
List of positive integer factors of 67106 that divides 67100 without a remainder.
1, 2, 13, 26, 29, 58, 89, 178, 377, 754, 1157, 2314, 2581, 5162, 33553
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67100 and 67106. The biggest common factor number is the GCF number.
So the greatest common factor 67100 and 67106 is 2.
Also check out the Least Common Multiple of 67100 and 67106
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