What is the Greatest Common Factor of 42672 and 42677?

Greatest common factor (GCF) of 42672 and 42677 is 1.

GCF(42672,42677) = 1

We will now calculate the prime factors of 42672 and 42677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42672 and 42677.

How to find the GCF of 42672 and 42677?

We will first find the prime factorization of 42672 and 42677. After we will calculate the factors of 42672 and 42677 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42677

Prime factors of 42677 are 42677. Prime factorization of 42677 in exponential form is:

42677 = 42677¹

Step-3: Factors of 42672

List of positive integer factors of 42672 that divides 42672 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

Step-4: Factors of 42677

List of positive integer factors of 42677 that divides 42672 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42672 and 42677. The biggest common factor number is the GCF number.
So the greatest common factor 42672 and 42677 is 1.

Also check out the Least Common Multiple of 42672 and 42677