What is the Greatest Common Factor of 62268 and 62282?

Greatest common factor (GCF) of 62268 and 62282 is 2.

GCF(62268,62282) = 2

We will now calculate the prime factors of 62268 and 62282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62268 and 62282.

How to find the GCF of 62268 and 62282?

We will first find the prime factorization of 62268 and 62282. After we will calculate the factors of 62268 and 62282 and find the biggest common factor number .

Step-1: Prime Factorization of 62268

Prime factors of 62268 are 2, 3, 5189. Prime factorization of 62268 in exponential form is:

62268 = 2² × 3¹ × 5189¹

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 62268

List of positive integer factors of 62268 that divides 62268 without a remainder.

1, 2, 3, 4, 6, 12, 5189, 10378, 15567, 20756, 31134

Step-4: Factors of 62282

List of positive integer factors of 62282 that divides 62268 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 62268 and 62282. The biggest common factor number is the GCF number.
So the greatest common factor 62268 and 62282 is 2.

Also check out the Least Common Multiple of 62268 and 62282