What is the Greatest Common Factor of 97370 and 97380?

Greatest common factor (GCF) of 97370 and 97380 is 10.

GCF(97370,97380) = 10

We will now calculate the prime factors of 97370 and 97380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97370 and 97380.

How to find the GCF of 97370 and 97380?

We will first find the prime factorization of 97370 and 97380. After we will calculate the factors of 97370 and 97380 and find the biggest common factor number .

Step-1: Prime Factorization of 97370

Prime factors of 97370 are 2, 5, 7, 13, 107. Prime factorization of 97370 in exponential form is:

97370 = 2¹ × 5¹ × 7¹ × 13¹ × 107¹

Step-2: Prime Factorization of 97380

Prime factors of 97380 are 2, 3, 5, 541. Prime factorization of 97380 in exponential form is:

97380 = 2² × 3² × 5¹ × 541¹

Step-3: Factors of 97370

List of positive integer factors of 97370 that divides 97370 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 107, 130, 182, 214, 455, 535, 749, 910, 1070, 1391, 1498, 2782, 3745, 6955, 7490, 9737, 13910, 19474, 48685

Step-4: Factors of 97380

List of positive integer factors of 97380 that divides 97370 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 541, 1082, 1623, 2164, 2705, 3246, 4869, 5410, 6492, 8115, 9738, 10820, 16230, 19476, 24345, 32460, 48690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97370 and 97380. The biggest common factor number is the GCF number.
So the greatest common factor 97370 and 97380 is 10.

Also check out the Least Common Multiple of 97370 and 97380