What is the Greatest Common Factor of 90958 and 90965?

Greatest common factor (GCF) of 90958 and 90965 is 7.

GCF(90958,90965) = 7

We will now calculate the prime factors of 90958 and 90965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90958 and 90965.

How to find the GCF of 90958 and 90965?

We will first find the prime factorization of 90958 and 90965. After we will calculate the factors of 90958 and 90965 and find the biggest common factor number .

Step-1: Prime Factorization of 90958

Prime factors of 90958 are 2, 7, 73, 89. Prime factorization of 90958 in exponential form is:

90958 = 2¹ × 7¹ × 73¹ × 89¹

Step-2: Prime Factorization of 90965

Prime factors of 90965 are 5, 7, 23, 113. Prime factorization of 90965 in exponential form is:

90965 = 5¹ × 7¹ × 23¹ × 113¹

Step-3: Factors of 90958

List of positive integer factors of 90958 that divides 90958 without a remainder.

1, 2, 7, 14, 73, 89, 146, 178, 511, 623, 1022, 1246, 6497, 12994, 45479

Step-4: Factors of 90965

List of positive integer factors of 90965 that divides 90958 without a remainder.

1, 5, 7, 23, 35, 113, 115, 161, 565, 791, 805, 2599, 3955, 12995, 18193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90958 and 90965. The biggest common factor number is the GCF number.
So the greatest common factor 90958 and 90965 is 7.

Also check out the Least Common Multiple of 90958 and 90965