What is the Greatest Common Factor of 97370 and 97384?

Greatest common factor (GCF) of 97370 and 97384 is 14.

GCF(97370,97384) = 14

We will now calculate the prime factors of 97370 and 97384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97370 and 97384.

How to find the GCF of 97370 and 97384?

We will first find the prime factorization of 97370 and 97384. After we will calculate the factors of 97370 and 97384 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 97384

Prime factors of 97384 are 2, 7, 37, 47. Prime factorization of 97384 in exponential form is:

97384 = 2³ × 7¹ × 37¹ × 47¹

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 97384

List of positive integer factors of 97384 that divides 97370 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 47, 56, 74, 94, 148, 188, 259, 296, 329, 376, 518, 658, 1036, 1316, 1739, 2072, 2632, 3478, 6956, 12173, 13912, 24346, 48692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97370 and 97384. The biggest common factor number is the GCF number.
So the greatest common factor 97370 and 97384 is 14.

Also check out the Least Common Multiple of 97370 and 97384