What is the Greatest Common Factor of 97625 and 97635?
Greatest common factor (GCF) of 97625 and 97635 is 5.
GCF(97625,97635) = 5
We will now calculate the prime factors of 97625 and 97635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97625 and 97635.
How to find the GCF of 97625 and 97635?
We will first find the prime factorization of 97625 and 97635. After we will calculate the factors of 97625 and 97635 and find the biggest common factor number .
Step-1: Prime Factorization of 97625
Prime factors of 97625 are 5, 11, 71. Prime factorization of 97625 in exponential form is:
97625 = 53 × 111 × 711
Step-2: Prime Factorization of 97635
Prime factors of 97635 are 3, 5, 23, 283. Prime factorization of 97635 in exponential form is:
97635 = 31 × 51 × 231 × 2831
Step-3: Factors of 97625
List of positive integer factors of 97625 that divides 97625 without a remainder.
1, 5, 11, 25, 55, 71, 125, 275, 355, 781, 1375, 1775, 3905, 8875, 19525
Step-4: Factors of 97635
List of positive integer factors of 97635 that divides 97625 without a remainder.
1, 3, 5, 15, 23, 69, 115, 283, 345, 849, 1415, 4245, 6509, 19527, 32545
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 97625 and 97635. The biggest common factor number is the GCF number.
So the greatest common factor 97625 and 97635 is 5.
Also check out the Least Common Multiple of 97625 and 97635
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