What is the Greatest Common Factor of 65142 and 65162?

Greatest common factor (GCF) of 65142 and 65162 is 2.

GCF(65142,65162) = 2

We will now calculate the prime factors of 65142 and 65162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65142 and 65162.

How to find the GCF of 65142 and 65162?

We will first find the prime factorization of 65142 and 65162. After we will calculate the factors of 65142 and 65162 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 65162

Prime factors of 65162 are 2, 31, 1051. Prime factorization of 65162 in exponential form is:

65162 = 2¹ × 31¹ × 1051¹

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 65162

List of positive integer factors of 65162 that divides 65142 without a remainder.

1, 2, 31, 62, 1051, 2102, 32581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65142 and 65162. The biggest common factor number is the GCF number.
So the greatest common factor 65142 and 65162 is 2.

Also check out the Least Common Multiple of 65142 and 65162