What is the Greatest Common Factor of 59850 and 59864?

Greatest common factor (GCF) of 59850 and 59864 is 14.

GCF(59850,59864) = 14

We will now calculate the prime factors of 59850 and 59864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59850 and 59864.

How to find the GCF of 59850 and 59864?

We will first find the prime factorization of 59850 and 59864. After we will calculate the factors of 59850 and 59864 and find the biggest common factor number .

Step-1: Prime Factorization of 59850

Prime factors of 59850 are 2, 3, 5, 7, 19. Prime factorization of 59850 in exponential form is:

59850 = 2¹ × 3² × 5² × 7¹ × 19¹

Step-2: Prime Factorization of 59864

Prime factors of 59864 are 2, 7, 1069. Prime factorization of 59864 in exponential form is:

59864 = 2³ × 7¹ × 1069¹

Step-3: Factors of 59850

List of positive integer factors of 59850 that divides 59850 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 19, 21, 25, 30, 35, 38, 42, 45, 50, 57, 63, 70, 75, 90, 95, 105, 114, 126, 133, 150, 171, 175, 190, 210, 225, 266, 285, 315, 342, 350, 399, 450, 475, 525, 570, 630, 665, 798, 855, 950, 1050, 1197, 1330, 1425, 1575, 1710, 1995, 2394, 2850, 3150, 3325, 3990, 4275, 5985, 6650, 8550, 9975, 11970, 19950, 29925

Step-4: Factors of 59864

List of positive integer factors of 59864 that divides 59850 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1069, 2138, 4276, 7483, 8552, 14966, 29932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59850 and 59864. The biggest common factor number is the GCF number.
So the greatest common factor 59850 and 59864 is 14.

Also check out the Least Common Multiple of 59850 and 59864