What is the Greatest Common Factor of 97860 and 97870?

Greatest common factor (GCF) of 97860 and 97870 is 10.

GCF(97860,97870) = 10

We will now calculate the prime factors of 97860 and 97870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97860 and 97870.

How to find the GCF of 97860 and 97870?

We will first find the prime factorization of 97860 and 97870. After we will calculate the factors of 97860 and 97870 and find the biggest common factor number .

Step-1: Prime Factorization of 97860

Prime factors of 97860 are 2, 3, 5, 7, 233. Prime factorization of 97860 in exponential form is:

97860 = 2² × 3¹ × 5¹ × 7¹ × 233¹

Step-2: Prime Factorization of 97870

Prime factors of 97870 are 2, 5, 9787. Prime factorization of 97870 in exponential form is:

97870 = 2¹ × 5¹ × 9787¹

Step-3: Factors of 97860

List of positive integer factors of 97860 that divides 97860 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 233, 420, 466, 699, 932, 1165, 1398, 1631, 2330, 2796, 3262, 3495, 4660, 4893, 6524, 6990, 8155, 9786, 13980, 16310, 19572, 24465, 32620, 48930

Step-4: Factors of 97870

List of positive integer factors of 97870 that divides 97860 without a remainder.

1, 2, 5, 10, 9787, 19574, 48935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97860 and 97870. The biggest common factor number is the GCF number.
So the greatest common factor 97860 and 97870 is 10.

Also check out the Least Common Multiple of 97860 and 97870