What is the Greatest Common Factor of 36208 and 36212?

Greatest common factor (GCF) of 36208 and 36212 is 4.

GCF(36208,36212) = 4

We will now calculate the prime factors of 36208 and 36212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36208 and 36212.

How to find the GCF of 36208 and 36212?

We will first find the prime factorization of 36208 and 36212. After we will calculate the factors of 36208 and 36212 and find the biggest common factor number .

Step-1: Prime Factorization of 36208

Prime factors of 36208 are 2, 31, 73. Prime factorization of 36208 in exponential form is:

36208 = 2⁴ × 31¹ × 73¹

Step-2: Prime Factorization of 36212

Prime factors of 36212 are 2, 11, 823. Prime factorization of 36212 in exponential form is:

36212 = 2² × 11¹ × 823¹

Step-3: Factors of 36208

List of positive integer factors of 36208 that divides 36208 without a remainder.

1, 2, 4, 8, 16, 31, 62, 73, 124, 146, 248, 292, 496, 584, 1168, 2263, 4526, 9052, 18104

Step-4: Factors of 36212

List of positive integer factors of 36212 that divides 36208 without a remainder.

1, 2, 4, 11, 22, 44, 823, 1646, 3292, 9053, 18106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36208 and 36212. The biggest common factor number is the GCF number.
So the greatest common factor 36208 and 36212 is 4.

Also check out the Least Common Multiple of 36208 and 36212