What is the Greatest Common Factor of 94860 and 94870?

Greatest common factor (GCF) of 94860 and 94870 is 10.

GCF(94860,94870) = 10

We will now calculate the prime factors of 94860 and 94870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94860 and 94870.

How to find the GCF of 94860 and 94870?

We will first find the prime factorization of 94860 and 94870. After we will calculate the factors of 94860 and 94870 and find the biggest common factor number .

Step-1: Prime Factorization of 94860

Prime factors of 94860 are 2, 3, 5, 17, 31. Prime factorization of 94860 in exponential form is:

94860 = 2² × 3² × 5¹ × 17¹ × 31¹

Step-2: Prime Factorization of 94870

Prime factors of 94870 are 2, 5, 53, 179. Prime factorization of 94870 in exponential form is:

94870 = 2¹ × 5¹ × 53¹ × 179¹

Step-3: Factors of 94860

List of positive integer factors of 94860 that divides 94860 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 31, 34, 36, 45, 51, 60, 62, 68, 85, 90, 93, 102, 124, 153, 155, 170, 180, 186, 204, 255, 279, 306, 310, 340, 372, 465, 510, 527, 558, 612, 620, 765, 930, 1020, 1054, 1116, 1395, 1530, 1581, 1860, 2108, 2635, 2790, 3060, 3162, 4743, 5270, 5580, 6324, 7905, 9486, 10540, 15810, 18972, 23715, 31620, 47430

Step-4: Factors of 94870

List of positive integer factors of 94870 that divides 94860 without a remainder.

1, 2, 5, 10, 53, 106, 179, 265, 358, 530, 895, 1790, 9487, 18974, 47435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94860 and 94870. The biggest common factor number is the GCF number.
So the greatest common factor 94860 and 94870 is 10.

Also check out the Least Common Multiple of 94860 and 94870