What is the Greatest Common Factor of 62069 and 62076?

Greatest common factor (GCF) of 62069 and 62076 is 7.

GCF(62069,62076) = 7

We will now calculate the prime factors of 62069 and 62076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62069 and 62076.

How to find the GCF of 62069 and 62076?

We will first find the prime factorization of 62069 and 62076. After we will calculate the factors of 62069 and 62076 and find the biggest common factor number .

Step-1: Prime Factorization of 62069

Prime factors of 62069 are 7, 8867. Prime factorization of 62069 in exponential form is:

62069 = 7¹ × 8867¹

Step-2: Prime Factorization of 62076

Prime factors of 62076 are 2, 3, 7, 739. Prime factorization of 62076 in exponential form is:

62076 = 2² × 3¹ × 7¹ × 739¹

Step-3: Factors of 62069

List of positive integer factors of 62069 that divides 62069 without a remainder.

1, 7, 8867

Step-4: Factors of 62076

List of positive integer factors of 62076 that divides 62069 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 739, 1478, 2217, 2956, 4434, 5173, 8868, 10346, 15519, 20692, 31038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62069 and 62076. The biggest common factor number is the GCF number.
So the greatest common factor 62069 and 62076 is 7.

Also check out the Least Common Multiple of 62069 and 62076