What is the Greatest Common Factor of 61846 and 61864?

Greatest common factor (GCF) of 61846 and 61864 is 2.

GCF(61846,61864) = 2

We will now calculate the prime factors of 61846 and 61864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61846 and 61864.

How to find the GCF of 61846 and 61864?

We will first find the prime factorization of 61846 and 61864. After we will calculate the factors of 61846 and 61864 and find the biggest common factor number .

Step-1: Prime Factorization of 61846

Prime factors of 61846 are 2, 17, 107. Prime factorization of 61846 in exponential form is:

61846 = 2¹ × 17² × 107¹

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 61846

List of positive integer factors of 61846 that divides 61846 without a remainder.

1, 2, 17, 34, 107, 214, 289, 578, 1819, 3638, 30923

Step-4: Factors of 61864

List of positive integer factors of 61864 that divides 61846 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 61846 and 61864. The biggest common factor number is the GCF number.
So the greatest common factor 61846 and 61864 is 2.

Also check out the Least Common Multiple of 61846 and 61864