What is the Greatest Common Factor of 61204 and 61210?

Greatest common factor (GCF) of 61204 and 61210 is 2.

GCF(61204,61210) = 2

We will now calculate the prime factors of 61204 and 61210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61204 and 61210.

How to find the GCF of 61204 and 61210?

We will first find the prime factorization of 61204 and 61210. After we will calculate the factors of 61204 and 61210 and find the biggest common factor number .

Step-1: Prime Factorization of 61204

Prime factors of 61204 are 2, 11, 13, 107. Prime factorization of 61204 in exponential form is:

61204 = 2² × 11¹ × 13¹ × 107¹

Step-2: Prime Factorization of 61210

Prime factors of 61210 are 2, 5, 6121. Prime factorization of 61210 in exponential form is:

61210 = 2¹ × 5¹ × 6121¹

Step-3: Factors of 61204

List of positive integer factors of 61204 that divides 61204 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 107, 143, 214, 286, 428, 572, 1177, 1391, 2354, 2782, 4708, 5564, 15301, 30602

Step-4: Factors of 61210

List of positive integer factors of 61210 that divides 61204 without a remainder.

1, 2, 5, 10, 6121, 12242, 30605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61204 and 61210. The biggest common factor number is the GCF number.
So the greatest common factor 61204 and 61210 is 2.

Also check out the Least Common Multiple of 61204 and 61210