What is the Greatest Common Factor of 65142 and 65156?

Greatest common factor (GCF) of 65142 and 65156 is 14.

GCF(65142,65156) = 14

We will now calculate the prime factors of 65142 and 65156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65142 and 65156.

How to find the GCF of 65142 and 65156?

We will first find the prime factorization of 65142 and 65156. After we will calculate the factors of 65142 and 65156 and find the biggest common factor number .

Step-1: Prime Factorization of 65142

Prime factors of 65142 are 2, 3, 7, 11, 47. Prime factorization of 65142 in exponential form is:

65142 = 2¹ × 3² × 7¹ × 11¹ × 47¹

Step-2: Prime Factorization of 65156

Prime factors of 65156 are 2, 7, 13, 179. Prime factorization of 65156 in exponential form is:

65156 = 2² × 7¹ × 13¹ × 179¹

Step-3: Factors of 65142

List of positive integer factors of 65142 that divides 65142 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 47, 63, 66, 77, 94, 99, 126, 141, 154, 198, 231, 282, 329, 423, 462, 517, 658, 693, 846, 987, 1034, 1386, 1551, 1974, 2961, 3102, 3619, 4653, 5922, 7238, 9306, 10857, 21714, 32571

Step-4: Factors of 65156

List of positive integer factors of 65156 that divides 65142 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 179, 182, 358, 364, 716, 1253, 2327, 2506, 4654, 5012, 9308, 16289, 32578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65142 and 65156. The biggest common factor number is the GCF number.
So the greatest common factor 65142 and 65156 is 14.

Also check out the Least Common Multiple of 65142 and 65156