What is the Greatest Common Factor of 97722 and 97734?

Greatest common factor (GCF) of 97722 and 97734 is 6.

GCF(97722,97734) = 6

We will now calculate the prime factors of 97722 and 97734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97722 and 97734.

How to find the GCF of 97722 and 97734?

We will first find the prime factorization of 97722 and 97734. After we will calculate the factors of 97722 and 97734 and find the biggest common factor number .

Step-1: Prime Factorization of 97722

Prime factors of 97722 are 2, 3, 61, 89. Prime factorization of 97722 in exponential form is:

97722 = 2¹ × 3² × 61¹ × 89¹

Step-2: Prime Factorization of 97734

Prime factors of 97734 are 2, 3, 7, 13, 179. Prime factorization of 97734 in exponential form is:

97734 = 2¹ × 3¹ × 7¹ × 13¹ × 179¹

Step-3: Factors of 97722

List of positive integer factors of 97722 that divides 97722 without a remainder.

1, 2, 3, 6, 9, 18, 61, 89, 122, 178, 183, 267, 366, 534, 549, 801, 1098, 1602, 5429, 10858, 16287, 32574, 48861

Step-4: Factors of 97734

List of positive integer factors of 97734 that divides 97722 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 179, 182, 273, 358, 537, 546, 1074, 1253, 2327, 2506, 3759, 4654, 6981, 7518, 13962, 16289, 32578, 48867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97722 and 97734. The biggest common factor number is the GCF number.
So the greatest common factor 97722 and 97734 is 6.

Also check out the Least Common Multiple of 97722 and 97734