What is the Greatest Common Factor of 62696 and 62712?

Greatest common factor (GCF) of 62696 and 62712 is 8.

GCF(62696,62712) = 8

We will now calculate the prime factors of 62696 and 62712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62696 and 62712.

How to find the GCF of 62696 and 62712?

We will first find the prime factorization of 62696 and 62712. After we will calculate the factors of 62696 and 62712 and find the biggest common factor number .

Step-1: Prime Factorization of 62696

Prime factors of 62696 are 2, 17, 461. Prime factorization of 62696 in exponential form is:

62696 = 2³ × 17¹ × 461¹

Step-2: Prime Factorization of 62712

Prime factors of 62712 are 2, 3, 13, 67. Prime factorization of 62712 in exponential form is:

62712 = 2³ × 3² × 13¹ × 67¹

Step-3: Factors of 62696

List of positive integer factors of 62696 that divides 62696 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 461, 922, 1844, 3688, 7837, 15674, 31348

Step-4: Factors of 62712

List of positive integer factors of 62712 that divides 62696 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 67, 72, 78, 104, 117, 134, 156, 201, 234, 268, 312, 402, 468, 536, 603, 804, 871, 936, 1206, 1608, 1742, 2412, 2613, 3484, 4824, 5226, 6968, 7839, 10452, 15678, 20904, 31356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62696 and 62712. The biggest common factor number is the GCF number.
So the greatest common factor 62696 and 62712 is 8.

Also check out the Least Common Multiple of 62696 and 62712