What is the Greatest Common Factor of 62702 and 62712?

Greatest common factor (GCF) of 62702 and 62712 is 2.

GCF(62702,62712) = 2

We will now calculate the prime factors of 62702 and 62712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62702 and 62712.

How to find the GCF of 62702 and 62712?

We will first find the prime factorization of 62702 and 62712. After we will calculate the factors of 62702 and 62712 and find the biggest common factor number .

Step-1: Prime Factorization of 62702

Prime factors of 62702 are 2, 107, 293. Prime factorization of 62702 in exponential form is:

62702 = 2¹ × 107¹ × 293¹

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 62702

List of positive integer factors of 62702 that divides 62702 without a remainder.

1, 2, 107, 214, 293, 586, 31351

Step-4: Factors of 62712

List of positive integer factors of 62712 that divides 62702 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 62702 and 62712. The biggest common factor number is the GCF number.
So the greatest common factor 62702 and 62712 is 2.

Also check out the Least Common Multiple of 62702 and 62712