What is the Greatest Common Factor of 65142 and 65157?

Greatest common factor (GCF) of 65142 and 65157 is 3.

GCF(65142,65157) = 3

We will now calculate the prime factors of 65142 and 65157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65142 and 65157.

How to find the GCF of 65142 and 65157?

We will first find the prime factorization of 65142 and 65157. After we will calculate the factors of 65142 and 65157 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 65157

Prime factors of 65157 are 3, 37, 587. Prime factorization of 65157 in exponential form is:

65157 = 3¹ × 37¹ × 587¹

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 65157

List of positive integer factors of 65157 that divides 65142 without a remainder.

1, 3, 37, 111, 587, 1761, 21719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65142 and 65157. The biggest common factor number is the GCF number.
So the greatest common factor 65142 and 65157 is 3.

Also check out the Least Common Multiple of 65142 and 65157