What is the Greatest Common Factor of 61852 and 61864?

Greatest common factor (GCF) of 61852 and 61864 is 4.

GCF(61852,61864) = 4

We will now calculate the prime factors of 61852 and 61864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61852 and 61864.

How to find the GCF of 61852 and 61864?

We will first find the prime factorization of 61852 and 61864. After we will calculate the factors of 61852 and 61864 and find the biggest common factor number .

Step-1: Prime Factorization of 61852

Prime factors of 61852 are 2, 7, 47. Prime factorization of 61852 in exponential form is:

61852 = 2² × 7¹ × 47²

Step-2: Prime Factorization of 61864

Prime factors of 61864 are 2, 11, 19, 37. Prime factorization of 61864 in exponential form is:

61864 = 2³ × 11¹ × 19¹ × 37¹

Step-3: Factors of 61852

List of positive integer factors of 61852 that divides 61852 without a remainder.

1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316, 2209, 4418, 8836, 15463, 30926

Step-4: Factors of 61864

List of positive integer factors of 61864 that divides 61852 without a remainder.

1, 2, 4, 8, 11, 19, 22, 37, 38, 44, 74, 76, 88, 148, 152, 209, 296, 407, 418, 703, 814, 836, 1406, 1628, 1672, 2812, 3256, 5624, 7733, 15466, 30932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61852 and 61864. The biggest common factor number is the GCF number.
So the greatest common factor 61852 and 61864 is 4.

Also check out the Least Common Multiple of 61852 and 61864