What is the Greatest Common Factor of 62062 and 62076?

Greatest common factor (GCF) of 62062 and 62076 is 14.

GCF(62062,62076) = 14

We will now calculate the prime factors of 62062 and 62076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62062 and 62076.

How to find the GCF of 62062 and 62076?

We will first find the prime factorization of 62062 and 62076. After we will calculate the factors of 62062 and 62076 and find the biggest common factor number .

Step-1: Prime Factorization of 62062

Prime factors of 62062 are 2, 7, 11, 13, 31. Prime factorization of 62062 in exponential form is:

62062 = 2¹ × 7¹ × 11¹ × 13¹ × 31¹

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 62062

List of positive integer factors of 62062 that divides 62062 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 31, 62, 77, 91, 143, 154, 182, 217, 286, 341, 403, 434, 682, 806, 1001, 2002, 2387, 2821, 4433, 4774, 5642, 8866, 31031

Step-4: Factors of 62076

List of positive integer factors of 62076 that divides 62062 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 62062 and 62076. The biggest common factor number is the GCF number.
So the greatest common factor 62062 and 62076 is 14.

Also check out the Least Common Multiple of 62062 and 62076