What is the Greatest Common Factor of 61202 and 61216?

Greatest common factor (GCF) of 61202 and 61216 is 2.

GCF(61202,61216) = 2

We will now calculate the prime factors of 61202 and 61216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61202 and 61216.

How to find the GCF of 61202 and 61216?

We will first find the prime factorization of 61202 and 61216. After we will calculate the factors of 61202 and 61216 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 61216

Prime factors of 61216 are 2, 1913. Prime factorization of 61216 in exponential form is:

61216 = 2⁵ × 1913¹

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 61216

List of positive integer factors of 61216 that divides 61202 without a remainder.

1, 2, 4, 8, 16, 32, 1913, 3826, 7652, 15304, 30608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61202 and 61216. The biggest common factor number is the GCF number.
So the greatest common factor 61202 and 61216 is 2.

Also check out the Least Common Multiple of 61202 and 61216