What is the Greatest Common Factor of 62272 and 62282?

Greatest common factor (GCF) of 62272 and 62282 is 2.

GCF(62272,62282) = 2

We will now calculate the prime factors of 62272 and 62282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62272 and 62282.

How to find the GCF of 62272 and 62282?

We will first find the prime factorization of 62272 and 62282. After we will calculate the factors of 62272 and 62282 and find the biggest common factor number .

Step-1: Prime Factorization of 62272

Prime factors of 62272 are 2, 7, 139. Prime factorization of 62272 in exponential form is:

62272 = 2⁶ × 7¹ × 139¹

Step-2: Prime Factorization of 62282

Prime factors of 62282 are 2, 11, 19, 149. Prime factorization of 62282 in exponential form is:

62282 = 2¹ × 11¹ × 19¹ × 149¹

Step-3: Factors of 62272

List of positive integer factors of 62272 that divides 62272 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 139, 224, 278, 448, 556, 973, 1112, 1946, 2224, 3892, 4448, 7784, 8896, 15568, 31136

Step-4: Factors of 62282

List of positive integer factors of 62282 that divides 62272 without a remainder.

1, 2, 11, 19, 22, 38, 149, 209, 298, 418, 1639, 2831, 3278, 5662, 31141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62272 and 62282. The biggest common factor number is the GCF number.
So the greatest common factor 62272 and 62282 is 2.

Also check out the Least Common Multiple of 62272 and 62282