What is the Greatest Common Factor of 45974 and 45988?

Greatest common factor (GCF) of 45974 and 45988 is 2.

GCF(45974,45988) = 2

We will now calculate the prime factors of 45974 and 45988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45974 and 45988.

How to find the GCF of 45974 and 45988?

We will first find the prime factorization of 45974 and 45988. After we will calculate the factors of 45974 and 45988 and find the biggest common factor number .

Step-1: Prime Factorization of 45974

Prime factors of 45974 are 2, 127, 181. Prime factorization of 45974 in exponential form is:

45974 = 2¹ × 127¹ × 181¹

Step-2: Prime Factorization of 45988

Prime factors of 45988 are 2, 11497. Prime factorization of 45988 in exponential form is:

45988 = 2² × 11497¹

Step-3: Factors of 45974

List of positive integer factors of 45974 that divides 45974 without a remainder.

1, 2, 127, 181, 254, 362, 22987

Step-4: Factors of 45988

List of positive integer factors of 45988 that divides 45974 without a remainder.

1, 2, 4, 11497, 22994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45974 and 45988. The biggest common factor number is the GCF number.
So the greatest common factor 45974 and 45988 is 2.

Also check out the Least Common Multiple of 45974 and 45988