What is the Greatest Common Factor of 59836 and 59850?

Greatest common factor (GCF) of 59836 and 59850 is 14.

GCF(59836,59850) = 14

We will now calculate the prime factors of 59836 and 59850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59836 and 59850.

How to find the GCF of 59836 and 59850?

We will first find the prime factorization of 59836 and 59850. After we will calculate the factors of 59836 and 59850 and find the biggest common factor number .

Step-1: Prime Factorization of 59836

Prime factors of 59836 are 2, 7, 2137. Prime factorization of 59836 in exponential form is:

59836 = 2² × 7¹ × 2137¹

Step-2: 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-3: Factors of 59836

List of positive integer factors of 59836 that divides 59836 without a remainder.

1, 2, 4, 7, 14, 28, 2137, 4274, 8548, 14959, 29918

Step-4: Factors of 59850

List of positive integer factors of 59850 that divides 59836 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59836 and 59850. The biggest common factor number is the GCF number.
So the greatest common factor 59836 and 59850 is 14.

Also check out the Least Common Multiple of 59836 and 59850