What is the Greatest Common Factor of 71222 and 71236?

Greatest common factor (GCF) of 71222 and 71236 is 2.

GCF(71222,71236) = 2

We will now calculate the prime factors of 71222 and 71236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71222 and 71236.

How to find the GCF of 71222 and 71236?

We will first find the prime factorization of 71222 and 71236. After we will calculate the factors of 71222 and 71236 and find the biggest common factor number .

Step-1: Prime Factorization of 71222

Prime factors of 71222 are 2, 149, 239. Prime factorization of 71222 in exponential form is:

71222 = 2¹ × 149¹ × 239¹

Step-2: Prime Factorization of 71236

Prime factors of 71236 are 2, 11, 1619. Prime factorization of 71236 in exponential form is:

71236 = 2² × 11¹ × 1619¹

Step-3: Factors of 71222

List of positive integer factors of 71222 that divides 71222 without a remainder.

1, 2, 149, 239, 298, 478, 35611

Step-4: Factors of 71236

List of positive integer factors of 71236 that divides 71222 without a remainder.

1, 2, 4, 11, 22, 44, 1619, 3238, 6476, 17809, 35618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71222 and 71236. The biggest common factor number is the GCF number.
So the greatest common factor 71222 and 71236 is 2.

Also check out the Least Common Multiple of 71222 and 71236