What is the Greatest Common Factor of 45948 and 45959?

Greatest common factor (GCF) of 45948 and 45959 is 1.

GCF(45948,45959) = 1

We will now calculate the prime factors of 45948 and 45959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45948 and 45959.

How to find the GCF of 45948 and 45959?

We will first find the prime factorization of 45948 and 45959. After we will calculate the factors of 45948 and 45959 and find the biggest common factor number .

Step-1: Prime Factorization of 45948

Prime factors of 45948 are 2, 3, 7, 547. Prime factorization of 45948 in exponential form is:

45948 = 2² × 3¹ × 7¹ × 547¹

Step-2: Prime Factorization of 45959

Prime factors of 45959 are 45959. Prime factorization of 45959 in exponential form is:

45959 = 45959¹

Step-3: Factors of 45948

List of positive integer factors of 45948 that divides 45948 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 547, 1094, 1641, 2188, 3282, 3829, 6564, 7658, 11487, 15316, 22974

Step-4: Factors of 45959

List of positive integer factors of 45959 that divides 45948 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45948 and 45959. The biggest common factor number is the GCF number.
So the greatest common factor 45948 and 45959 is 1.

Also check out the Least Common Multiple of 45948 and 45959