What is the Greatest Common Factor of 62072 and 62087?

Greatest common factor (GCF) of 62072 and 62087 is 1.

GCF(62072,62087) = 1

We will now calculate the prime factors of 62072 and 62087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62072 and 62087.

How to find the GCF of 62072 and 62087?

We will first find the prime factorization of 62072 and 62087. After we will calculate the factors of 62072 and 62087 and find the biggest common factor number .

Step-1: Prime Factorization of 62072

Prime factors of 62072 are 2, 7759. Prime factorization of 62072 in exponential form is:

62072 = 2³ × 7759¹

Step-2: Prime Factorization of 62087

Prime factors of 62087 are 47, 1321. Prime factorization of 62087 in exponential form is:

62087 = 47¹ × 1321¹

Step-3: Factors of 62072

List of positive integer factors of 62072 that divides 62072 without a remainder.

1, 2, 4, 8, 7759, 15518, 31036

Step-4: Factors of 62087

List of positive integer factors of 62087 that divides 62072 without a remainder.

1, 47, 1321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62072 and 62087. The biggest common factor number is the GCF number.
So the greatest common factor 62072 and 62087 is 1.

Also check out the Least Common Multiple of 62072 and 62087