What is the Greatest Common Factor of 64400 and 64410?

Greatest common factor (GCF) of 64400 and 64410 is 10.

GCF(64400,64410) = 10

We will now calculate the prime factors of 64400 and 64410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64400 and 64410.

How to find the GCF of 64400 and 64410?

We will first find the prime factorization of 64400 and 64410. After we will calculate the factors of 64400 and 64410 and find the biggest common factor number .

Step-1: Prime Factorization of 64400

Prime factors of 64400 are 2, 5, 7, 23. Prime factorization of 64400 in exponential form is:

64400 = 2⁴ × 5² × 7¹ × 23¹

Step-2: Prime Factorization of 64410

Prime factors of 64410 are 2, 3, 5, 19, 113. Prime factorization of 64410 in exponential form is:

64410 = 2¹ × 3¹ × 5¹ × 19¹ × 113¹

Step-3: Factors of 64400

List of positive integer factors of 64400 that divides 64400 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 23, 25, 28, 35, 40, 46, 50, 56, 70, 80, 92, 100, 112, 115, 140, 161, 175, 184, 200, 230, 280, 322, 350, 368, 400, 460, 560, 575, 644, 700, 805, 920, 1150, 1288, 1400, 1610, 1840, 2300, 2576, 2800, 3220, 4025, 4600, 6440, 8050, 9200, 12880, 16100, 32200

Step-4: Factors of 64410

List of positive integer factors of 64410 that divides 64400 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 113, 114, 190, 226, 285, 339, 565, 570, 678, 1130, 1695, 2147, 3390, 4294, 6441, 10735, 12882, 21470, 32205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64400 and 64410. The biggest common factor number is the GCF number.
So the greatest common factor 64400 and 64410 is 10.

Also check out the Least Common Multiple of 64400 and 64410