What is the Greatest Common Factor of 18725 and 18732?

Greatest common factor (GCF) of 18725 and 18732 is 7.

GCF(18725,18732) = 7

We will now calculate the prime factors of 18725 and 18732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18725 and 18732.

How to find the GCF of 18725 and 18732?

We will first find the prime factorization of 18725 and 18732. After we will calculate the factors of 18725 and 18732 and find the biggest common factor number .

Step-1: Prime Factorization of 18725

Prime factors of 18725 are 5, 7, 107. Prime factorization of 18725 in exponential form is:

18725 = 5² × 7¹ × 107¹

Step-2: Prime Factorization of 18732

Prime factors of 18732 are 2, 3, 7, 223. Prime factorization of 18732 in exponential form is:

18732 = 2² × 3¹ × 7¹ × 223¹

Step-3: Factors of 18725

List of positive integer factors of 18725 that divides 18725 without a remainder.

1, 5, 7, 25, 35, 107, 175, 535, 749, 2675, 3745

Step-4: Factors of 18732

List of positive integer factors of 18732 that divides 18725 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 223, 446, 669, 892, 1338, 1561, 2676, 3122, 4683, 6244, 9366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18725 and 18732. The biggest common factor number is the GCF number.
So the greatest common factor 18725 and 18732 is 7.

Also check out the Least Common Multiple of 18725 and 18732