What is the Greatest Common Factor of 61372 and 61387?

Greatest common factor (GCF) of 61372 and 61387 is 1.

GCF(61372,61387) = 1

We will now calculate the prime factors of 61372 and 61387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61372 and 61387.

How to find the GCF of 61372 and 61387?

We will first find the prime factorization of 61372 and 61387. After we will calculate the factors of 61372 and 61387 and find the biggest common factor number .

Step-1: Prime Factorization of 61372

Prime factors of 61372 are 2, 67, 229. Prime factorization of 61372 in exponential form is:

61372 = 2² × 67¹ × 229¹

Step-2: Prime Factorization of 61387

Prime factors of 61387 are 17, 23, 157. Prime factorization of 61387 in exponential form is:

61387 = 17¹ × 23¹ × 157¹

Step-3: Factors of 61372

List of positive integer factors of 61372 that divides 61372 without a remainder.

1, 2, 4, 67, 134, 229, 268, 458, 916, 15343, 30686

Step-4: Factors of 61387

List of positive integer factors of 61387 that divides 61372 without a remainder.

1, 17, 23, 157, 391, 2669, 3611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61372 and 61387. The biggest common factor number is the GCF number.
So the greatest common factor 61372 and 61387 is 1.

Also check out the Least Common Multiple of 61372 and 61387