What is the Greatest Common Factor of 61202 and 61208?

Greatest common factor (GCF) of 61202 and 61208 is 2.

GCF(61202,61208) = 2

We will now calculate the prime factors of 61202 and 61208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61202 and 61208.

How to find the GCF of 61202 and 61208?

We will first find the prime factorization of 61202 and 61208. After we will calculate the factors of 61202 and 61208 and find the biggest common factor number .

Step-1: Prime Factorization of 61202

Prime factors of 61202 are 2, 71, 431. Prime factorization of 61202 in exponential form is:

61202 = 2¹ × 71¹ × 431¹

Step-2: Prime Factorization of 61208

Prime factors of 61208 are 2, 7, 1093. Prime factorization of 61208 in exponential form is:

61208 = 2³ × 7¹ × 1093¹

Step-3: Factors of 61202

List of positive integer factors of 61202 that divides 61202 without a remainder.

1, 2, 71, 142, 431, 862, 30601

Step-4: Factors of 61208

List of positive integer factors of 61208 that divides 61202 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1093, 2186, 4372, 7651, 8744, 15302, 30604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61202 and 61208. The biggest common factor number is the GCF number.
So the greatest common factor 61202 and 61208 is 2.

Also check out the Least Common Multiple of 61202 and 61208