What is the Greatest Common Factor of 97720 and 97732?

Greatest common factor (GCF) of 97720 and 97732 is 4.

GCF(97720,97732) = 4

We will now calculate the prime factors of 97720 and 97732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97720 and 97732.

How to find the GCF of 97720 and 97732?

We will first find the prime factorization of 97720 and 97732. After we will calculate the factors of 97720 and 97732 and find the biggest common factor number .

Step-1: Prime Factorization of 97720

Prime factors of 97720 are 2, 5, 7, 349. Prime factorization of 97720 in exponential form is:

97720 = 2³ × 5¹ × 7¹ × 349¹

Step-2: Prime Factorization of 97732

Prime factors of 97732 are 2, 53, 461. Prime factorization of 97732 in exponential form is:

97732 = 2² × 53¹ × 461¹

Step-3: Factors of 97720

List of positive integer factors of 97720 that divides 97720 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 349, 698, 1396, 1745, 2443, 2792, 3490, 4886, 6980, 9772, 12215, 13960, 19544, 24430, 48860

Step-4: Factors of 97732

List of positive integer factors of 97732 that divides 97720 without a remainder.

1, 2, 4, 53, 106, 212, 461, 922, 1844, 24433, 48866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97720 and 97732. The biggest common factor number is the GCF number.
So the greatest common factor 97720 and 97732 is 4.

Also check out the Least Common Multiple of 97720 and 97732