What is the Greatest Common Factor of 65128 and 65142?

Greatest common factor (GCF) of 65128 and 65142 is 14.

GCF(65128,65142) = 14

We will now calculate the prime factors of 65128 and 65142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65128 and 65142.

How to find the GCF of 65128 and 65142?

We will first find the prime factorization of 65128 and 65142. After we will calculate the factors of 65128 and 65142 and find the biggest common factor number .

Step-1: Prime Factorization of 65128

Prime factors of 65128 are 2, 7, 1163. Prime factorization of 65128 in exponential form is:

65128 = 2³ × 7¹ × 1163¹

Step-2: 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-3: Factors of 65128

List of positive integer factors of 65128 that divides 65128 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1163, 2326, 4652, 8141, 9304, 16282, 32564

Step-4: Factors of 65142

List of positive integer factors of 65142 that divides 65128 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65128 and 65142. The biggest common factor number is the GCF number.
So the greatest common factor 65128 and 65142 is 14.

Also check out the Least Common Multiple of 65128 and 65142