What is the Greatest Common Factor of 65142 and 65153?

Greatest common factor (GCF) of 65142 and 65153 is 11.

GCF(65142,65153) = 11

We will now calculate the prime factors of 65142 and 65153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65142 and 65153.

How to find the GCF of 65142 and 65153?

We will first find the prime factorization of 65142 and 65153. After we will calculate the factors of 65142 and 65153 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 65153

Prime factors of 65153 are 11, 5923. Prime factorization of 65153 in exponential form is:

65153 = 11¹ × 5923¹

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 65153

List of positive integer factors of 65153 that divides 65142 without a remainder.

1, 11, 5923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65142 and 65153. The biggest common factor number is the GCF number.
So the greatest common factor 65142 and 65153 is 11.

Also check out the Least Common Multiple of 65142 and 65153