What is the Greatest Common Factor of 62374 and 62387?

Greatest common factor (GCF) of 62374 and 62387 is 13.

GCF(62374,62387) = 13

We will now calculate the prime factors of 62374 and 62387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62374 and 62387.

How to find the GCF of 62374 and 62387?

We will first find the prime factorization of 62374 and 62387. After we will calculate the factors of 62374 and 62387 and find the biggest common factor number .

Step-1: Prime Factorization of 62374

Prime factors of 62374 are 2, 13, 2399. Prime factorization of 62374 in exponential form is:

62374 = 2¹ × 13¹ × 2399¹

Step-2: Prime Factorization of 62387

Prime factors of 62387 are 13, 4799. Prime factorization of 62387 in exponential form is:

62387 = 13¹ × 4799¹

Step-3: Factors of 62374

List of positive integer factors of 62374 that divides 62374 without a remainder.

1, 2, 13, 26, 2399, 4798, 31187

Step-4: Factors of 62387

List of positive integer factors of 62387 that divides 62374 without a remainder.

1, 13, 4799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62374 and 62387. The biggest common factor number is the GCF number.
So the greatest common factor 62374 and 62387 is 13.

Also check out the Least Common Multiple of 62374 and 62387