What is the Greatest Common Factor of 65142 and 65149?

Greatest common factor (GCF) of 65142 and 65149 is 7.

GCF(65142,65149) = 7

We will now calculate the prime factors of 65142 and 65149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65142 and 65149.

How to find the GCF of 65142 and 65149?

We will first find the prime factorization of 65142 and 65149. After we will calculate the factors of 65142 and 65149 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 65149

Prime factors of 65149 are 7, 41, 227. Prime factorization of 65149 in exponential form is:

65149 = 7¹ × 41¹ × 227¹

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 65149

List of positive integer factors of 65149 that divides 65142 without a remainder.

1, 7, 41, 227, 287, 1589, 9307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65142 and 65149. The biggest common factor number is the GCF number.
So the greatest common factor 65142 and 65149 is 7.

Also check out the Least Common Multiple of 65142 and 65149