What is the Greatest Common Factor of 59850 and 59870?

Greatest common factor (GCF) of 59850 and 59870 is 10.

GCF(59850,59870) = 10

We will now calculate the prime factors of 59850 and 59870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59850 and 59870.

How to find the GCF of 59850 and 59870?

We will first find the prime factorization of 59850 and 59870. After we will calculate the factors of 59850 and 59870 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 59870

Prime factors of 59870 are 2, 5, 5987. Prime factorization of 59870 in exponential form is:

59870 = 2¹ × 5¹ × 5987¹

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 59870

List of positive integer factors of 59870 that divides 59850 without a remainder.

1, 2, 5, 10, 5987, 11974, 29935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59850 and 59870. The biggest common factor number is the GCF number.
So the greatest common factor 59850 and 59870 is 10.

Also check out the Least Common Multiple of 59850 and 59870