What is the Greatest Common Factor of 42072 and 42076?

Greatest common factor (GCF) of 42072 and 42076 is 4.

GCF(42072,42076) = 4

We will now calculate the prime factors of 42072 and 42076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42072 and 42076.

How to find the GCF of 42072 and 42076?

We will first find the prime factorization of 42072 and 42076. After we will calculate the factors of 42072 and 42076 and find the biggest common factor number .

Step-1: Prime Factorization of 42072

Prime factors of 42072 are 2, 3, 1753. Prime factorization of 42072 in exponential form is:

42072 = 2³ × 3¹ × 1753¹

Step-2: Prime Factorization of 42076

Prime factors of 42076 are 2, 67, 157. Prime factorization of 42076 in exponential form is:

42076 = 2² × 67¹ × 157¹

Step-3: Factors of 42072

List of positive integer factors of 42072 that divides 42072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1753, 3506, 5259, 7012, 10518, 14024, 21036

Step-4: Factors of 42076

List of positive integer factors of 42076 that divides 42072 without a remainder.

1, 2, 4, 67, 134, 157, 268, 314, 628, 10519, 21038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42072 and 42076. The biggest common factor number is the GCF number.
So the greatest common factor 42072 and 42076 is 4.

Also check out the Least Common Multiple of 42072 and 42076