What is the Greatest Common Factor of 97400 and 97410?

Greatest common factor (GCF) of 97400 and 97410 is 10.

GCF(97400,97410) = 10

We will now calculate the prime factors of 97400 and 97410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97400 and 97410.

How to find the GCF of 97400 and 97410?

We will first find the prime factorization of 97400 and 97410. After we will calculate the factors of 97400 and 97410 and find the biggest common factor number .

Step-1: Prime Factorization of 97400

Prime factors of 97400 are 2, 5, 487. Prime factorization of 97400 in exponential form is:

97400 = 2³ × 5² × 487¹

Step-2: Prime Factorization of 97410

Prime factors of 97410 are 2, 3, 5, 17, 191. Prime factorization of 97410 in exponential form is:

97410 = 2¹ × 3¹ × 5¹ × 17¹ × 191¹

Step-3: Factors of 97400

List of positive integer factors of 97400 that divides 97400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 487, 974, 1948, 2435, 3896, 4870, 9740, 12175, 19480, 24350, 48700

Step-4: Factors of 97410

List of positive integer factors of 97410 that divides 97400 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 191, 255, 382, 510, 573, 955, 1146, 1910, 2865, 3247, 5730, 6494, 9741, 16235, 19482, 32470, 48705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97400 and 97410. The biggest common factor number is the GCF number.
So the greatest common factor 97400 and 97410 is 10.

Also check out the Least Common Multiple of 97400 and 97410