What is the Greatest Common Factor of 45101 and 45108?

Greatest common factor (GCF) of 45101 and 45108 is 7.

GCF(45101,45108) = 7

We will now calculate the prime factors of 45101 and 45108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45101 and 45108.

How to find the GCF of 45101 and 45108?

We will first find the prime factorization of 45101 and 45108. After we will calculate the factors of 45101 and 45108 and find the biggest common factor number .

Step-1: Prime Factorization of 45101

Prime factors of 45101 are 7, 17, 379. Prime factorization of 45101 in exponential form is:

45101 = 7¹ × 17¹ × 379¹

Step-2: Prime Factorization of 45108

Prime factors of 45108 are 2, 3, 7, 179. Prime factorization of 45108 in exponential form is:

45108 = 2² × 3² × 7¹ × 179¹

Step-3: Factors of 45101

List of positive integer factors of 45101 that divides 45101 without a remainder.

1, 7, 17, 119, 379, 2653, 6443

Step-4: Factors of 45108

List of positive integer factors of 45108 that divides 45101 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 179, 252, 358, 537, 716, 1074, 1253, 1611, 2148, 2506, 3222, 3759, 5012, 6444, 7518, 11277, 15036, 22554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45101 and 45108. The biggest common factor number is the GCF number.
So the greatest common factor 45101 and 45108 is 7.

Also check out the Least Common Multiple of 45101 and 45108