What is the Greatest Common Factor of 62176 and 62196?

Greatest common factor (GCF) of 62176 and 62196 is 4.

GCF(62176,62196) = 4

We will now calculate the prime factors of 62176 and 62196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62176 and 62196.

How to find the GCF of 62176 and 62196?

We will first find the prime factorization of 62176 and 62196. After we will calculate the factors of 62176 and 62196 and find the biggest common factor number .

Step-1: Prime Factorization of 62176

Prime factors of 62176 are 2, 29, 67. Prime factorization of 62176 in exponential form is:

62176 = 2⁵ × 29¹ × 67¹

Step-2: Prime Factorization of 62196

Prime factors of 62196 are 2, 3, 71, 73. Prime factorization of 62196 in exponential form is:

62196 = 2² × 3¹ × 71¹ × 73¹

Step-3: Factors of 62176

List of positive integer factors of 62176 that divides 62176 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 67, 116, 134, 232, 268, 464, 536, 928, 1072, 1943, 2144, 3886, 7772, 15544, 31088

Step-4: Factors of 62196

List of positive integer factors of 62196 that divides 62176 without a remainder.

1, 2, 3, 4, 6, 12, 71, 73, 142, 146, 213, 219, 284, 292, 426, 438, 852, 876, 5183, 10366, 15549, 20732, 31098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62176 and 62196. The biggest common factor number is the GCF number.
So the greatest common factor 62176 and 62196 is 4.

Also check out the Least Common Multiple of 62176 and 62196