What is the Greatest Common Factor of 62264 and 62278?

Greatest common factor (GCF) of 62264 and 62278 is 2.

GCF(62264,62278) = 2

We will now calculate the prime factors of 62264 and 62278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62264 and 62278.

How to find the GCF of 62264 and 62278?

We will first find the prime factorization of 62264 and 62278. After we will calculate the factors of 62264 and 62278 and find the biggest common factor number .

Step-1: Prime Factorization of 62264

Prime factors of 62264 are 2, 43, 181. Prime factorization of 62264 in exponential form is:

62264 = 2³ × 43¹ × 181¹

Step-2: Prime Factorization of 62278

Prime factors of 62278 are 2, 31139. Prime factorization of 62278 in exponential form is:

62278 = 2¹ × 31139¹

Step-3: Factors of 62264

List of positive integer factors of 62264 that divides 62264 without a remainder.

1, 2, 4, 8, 43, 86, 172, 181, 344, 362, 724, 1448, 7783, 15566, 31132

Step-4: Factors of 62278

List of positive integer factors of 62278 that divides 62264 without a remainder.

1, 2, 31139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62264 and 62278. The biggest common factor number is the GCF number.
So the greatest common factor 62264 and 62278 is 2.

Also check out the Least Common Multiple of 62264 and 62278