What is the Greatest Common Factor of 96508 and 96528?
Greatest common factor (GCF) of 96508 and 96528 is 4.
GCF(96508,96528) = 4
We will now calculate the prime factors of 96508 and 96528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96508 and 96528.
How to find the GCF of 96508 and 96528?
We will first find the prime factorization of 96508 and 96528. After we will calculate the factors of 96508 and 96528 and find the biggest common factor number .
Step-1: Prime Factorization of 96508
Prime factors of 96508 are 2, 23, 1049. Prime factorization of 96508 in exponential form is:
96508 = 22 × 231 × 10491
Step-2: Prime Factorization of 96528
Prime factors of 96528 are 2, 3, 2011. Prime factorization of 96528 in exponential form is:
96528 = 24 × 31 × 20111
Step-3: Factors of 96508
List of positive integer factors of 96508 that divides 96508 without a remainder.
1, 2, 4, 23, 46, 92, 1049, 2098, 4196, 24127, 48254
Step-4: Factors of 96528
List of positive integer factors of 96528 that divides 96508 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2011, 4022, 6033, 8044, 12066, 16088, 24132, 32176, 48264
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 96508 and 96528. The biggest common factor number is the GCF number.
So the greatest common factor 96508 and 96528 is 4.
Also check out the Least Common Multiple of 96508 and 96528
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