What is the Greatest Common Factor of 42665 and 42672?

Greatest common factor (GCF) of 42665 and 42672 is 7.

GCF(42665,42672) = 7

We will now calculate the prime factors of 42665 and 42672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42665 and 42672.

How to find the GCF of 42665 and 42672?

We will first find the prime factorization of 42665 and 42672. After we will calculate the factors of 42665 and 42672 and find the biggest common factor number .

Step-1: Prime Factorization of 42665

Prime factors of 42665 are 5, 7, 23, 53. Prime factorization of 42665 in exponential form is:

42665 = 5¹ × 7¹ × 23¹ × 53¹

Step-2: Prime Factorization of 42672

Prime factors of 42672 are 2, 3, 7, 127. Prime factorization of 42672 in exponential form is:

42672 = 2⁴ × 3¹ × 7¹ × 127¹

Step-3: Factors of 42665

List of positive integer factors of 42665 that divides 42665 without a remainder.

1, 5, 7, 23, 35, 53, 115, 161, 265, 371, 805, 1219, 1855, 6095, 8533

Step-4: Factors of 42672

List of positive integer factors of 42672 that divides 42665 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 127, 168, 254, 336, 381, 508, 762, 889, 1016, 1524, 1778, 2032, 2667, 3048, 3556, 5334, 6096, 7112, 10668, 14224, 21336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42665 and 42672. The biggest common factor number is the GCF number.
So the greatest common factor 42665 and 42672 is 7.

Also check out the Least Common Multiple of 42665 and 42672