What is the Greatest Common Factor of 65142 and 65148?

Greatest common factor (GCF) of 65142 and 65148 is 6.

GCF(65142,65148) = 6

We will now calculate the prime factors of 65142 and 65148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65142 and 65148.

How to find the GCF of 65142 and 65148?

We will first find the prime factorization of 65142 and 65148. After we will calculate the factors of 65142 and 65148 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 65148

Prime factors of 65148 are 2, 3, 61, 89. Prime factorization of 65148 in exponential form is:

65148 = 2² × 3¹ × 61¹ × 89¹

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 65148

List of positive integer factors of 65148 that divides 65142 without a remainder.

1, 2, 3, 4, 6, 12, 61, 89, 122, 178, 183, 244, 267, 356, 366, 534, 732, 1068, 5429, 10858, 16287, 21716, 32574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65142 and 65148. The biggest common factor number is the GCF number.
So the greatest common factor 65142 and 65148 is 6.

Also check out the Least Common Multiple of 65142 and 65148