What is the Greatest Common Factor of 42063 and 42077?

Greatest common factor (GCF) of 42063 and 42077 is 7.

GCF(42063,42077) = 7

We will now calculate the prime factors of 42063 and 42077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42063 and 42077.

How to find the GCF of 42063 and 42077?

We will first find the prime factorization of 42063 and 42077. After we will calculate the factors of 42063 and 42077 and find the biggest common factor number .

Step-1: Prime Factorization of 42063

Prime factors of 42063 are 3, 7, 2003. Prime factorization of 42063 in exponential form is:

42063 = 3¹ × 7¹ × 2003¹

Step-2: Prime Factorization of 42077

Prime factors of 42077 are 7, 6011. Prime factorization of 42077 in exponential form is:

42077 = 7¹ × 6011¹

Step-3: Factors of 42063

List of positive integer factors of 42063 that divides 42063 without a remainder.

1, 3, 7, 21, 2003, 6009, 14021

Step-4: Factors of 42077

List of positive integer factors of 42077 that divides 42063 without a remainder.

1, 7, 6011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42063 and 42077. The biggest common factor number is the GCF number.
So the greatest common factor 42063 and 42077 is 7.

Also check out the Least Common Multiple of 42063 and 42077